W^4-81=

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Solution for W^4-81= equation:


Simplifying
W4 + -81 = 0

Reorder the terms:
-81 + W4 = 0

Solving
-81 + W4 = 0

Solving for variable 'W'.

Move all terms containing W to the left, all other terms to the right.

Add '81' to each side of the equation.
-81 + 81 + W4 = 0 + 81

Combine like terms: -81 + 81 = 0
0 + W4 = 0 + 81
W4 = 0 + 81

Combine like terms: 0 + 81 = 81
W4 = 81

Simplifying
W4 = 81

Reorder the terms:
-81 + W4 = 81 + -81

Combine like terms: 81 + -81 = 0
-81 + W4 = 0

Factor a difference between two squares.
(9 + W2)(-9 + W2) = 0

Factor a difference between two squares.
(9 + W2)((3 + W)(-3 + W)) = 0

Subproblem 1

Set the factor '(9 + W2)' equal to zero and attempt to solve: Simplifying 9 + W2 = 0 Solving 9 + W2 = 0 Move all terms containing W to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + W2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + W2 = 0 + -9 W2 = 0 + -9 Combine like terms: 0 + -9 = -9 W2 = -9 Simplifying W2 = -9 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(3 + W)' equal to zero and attempt to solve: Simplifying 3 + W = 0 Solving 3 + W = 0 Move all terms containing W to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + W = 0 + -3 Combine like terms: 3 + -3 = 0 0 + W = 0 + -3 W = 0 + -3 Combine like terms: 0 + -3 = -3 W = -3 Simplifying W = -3

Subproblem 3

Set the factor '(-3 + W)' equal to zero and attempt to solve: Simplifying -3 + W = 0 Solving -3 + W = 0 Move all terms containing W to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + W = 0 + 3 Combine like terms: -3 + 3 = 0 0 + W = 0 + 3 W = 0 + 3 Combine like terms: 0 + 3 = 3 W = 3 Simplifying W = 3

Solution

W = {-3, 3}

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